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Finding the Fourth Proportional to 428.91, 591.48 and 345.75

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Solution

The fourth proportional to 428.91, 591.48 and 345.75 is: 476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.91 : 591.48 = 345.75 : x
  2. Step 2: Convert to fraction form
    428.91/591.48 = 345.75/x
  3. Step 3: Cross multiply
    428.91x = 591.48 × 345.75
  4. Step 4: Simplify right side
    428.91x = 204,504.21
  5. Step 5: Solve for x
    x = 204,504.21/428.91
  6. Step 6: Final answer
    x = 476.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.